Research

Numerical analysis, Scientific computing, Numerical Solutions of Fractional Differential Equations and Fractional Calculus.

• PhD Scholar: Varsha R (Ongoing), Hemees Muhhamed (Ongoing)
•  PG Dissertations: Amber Shukla (May 2023), Rashika (May 2024) Diptiranjan Biswal (May 2025) Kuldip Baro, Krishanveni (May 2026) 

Teaching

• MA2001E: Mathematics-III (Batches EE-01, EE-02): Monsoon 2026
• MA2016E: Mathematics-IV (Batch BT-01): Winter 2025
• MA7229E: Numerical Methods for Partial Differential Equations (MSc Math): Winter 2025
• MA2005E: Mathematics-III (Batch CH-02): Monsoon 2025 
• ED3202E: Complex Analysis and Numerical Analysis, Monsoon 2025
• MA7234E: Introduction to Fractional Calculus, Monsoon 2025
• MA1011E: Mathematics-II (Batches EE-02 & EE-04): Winter 2024
• MA7229E: Numerical Methods for Partial Differential Equations (MSc Math): Winter 2024
• MA1001E: Mathematics-I (Batches EC-02 & CH-02): Monsoon 2024 
• MA6203E: Numerical Analysis (MSc Math): Monsoon 2024 
• MA1012E: Mathematics-II (Batch CS 02-03): Winter 2024 
• MA6203E: Numerical Analysis (MSc Math): Monsoon 2023
• MA2001D: Mathematics-III (CS-02): Monsoon 2023
• MA1002D: Mathematics-II (Batch D, L): Winter 2023
• MA2001D: Mathematics-III (CE, PE): Monsoon 2022

Grants

• Awarded a travel grant to attend the International Congress of Mathematicians ICM 2026.
• Awarded with CIMPA "Research In Pairs Fellowship" 2025.
• Availed DAC funding from Isaac Newton Institute for Mathematical Sciences, Cambridge University 2022.
• Availed Junior Research Fellowship from UGC.
• Availed Senior Research Fellowship from UGC.

Achievements

• Gold Medalist in M.Phil. (Mathematics).
• Gold Medalist in M.Sc. (Mathematics).
• Qualified GATE (AIR 33).
• Qualified JRF CSIR-UGC Twice.
• Qualified CSIR NET (AIR 24).
• Best Presentation Award in “27th International conference of International Academy of PhysicalSciences (CONIAPS-XXVII)”, 2021 at NIT Silchar, Assam, India.
• Best paper presentation award in “2nd International conference onmathematical modelling, applied analysis and computation (ICMMAAC-19)”, 2019 at JECRC University, Jaipur, India.
• Offered a mini course at CIMPA France https://www.carmin.tv/en/c/1679.

• On a Class of Multi-Dimensional Non-linear Time-Fractional Fokker-Planck Equations Capturing Brownian Motion (With Varsha R) (Preprint: https://arxiv.org/abs/2601.19211)
• Numerical simulation and convergence analysis for the time-fractional BBMB equation describing wave phenomena, Physica Scripta, 2025.
• Numerical Simulations for Time-Fractional Black Scholes Equations. Springer (Accepted) 2025 (with A.S.V. RaviKanth) https://arxiv.org/abs/2602.00201
• A computational procedure and analysis for multi-term time-fractional Burgers-type equation, Mathematical Methods in the Applied Sciences, pp 1-15, 2022. (with A.S.V. RaviKanth)
•  Numerical treatment and analysis for a class of time-fractional Burgers equation with the Dirichlet boundary conditions, International Journal of Computational Science and Engineering, Vol. 25(1), 74-90, 2022. (with A.S.V. RaviKanth)
• Numerical Simulation of Time Fractional Advection-Diffusion-Reaction Equation using Exponential B-Splines, Renewable Energy towards Smart Grid. Lecture Notes in Electrical Engineering, vol. 823, pp 133-143, 2022. (with A.S.V. RaviKanth)
• An unconditionally stable algorithm for multi-term time-fractional advection-diffusion equation with variable coefficients and convergence analysis, Numerical methods for partial differential equations, 37(3), 1928-1945, 2020. (with A.S.V. RaviKanth)
• A numerical approach for a class of time fractional reaction diffusion equation through exponential B-spline method, Computational and Applied Mathematics, Vol. 39(1), article ID 37, 2020. (with A.S.V. RaviKanth)
• An Implicit Numerical Scheme for a Class of Multi-term Time-Fractional Diffusion Equation, The European Physical Journal Plus, Vol. 134, 312, 2019. (with A.S.V. RaviKanth)
• Analytical solution of the Bloch equation using fractional operators with non-singular kernels, chapter in Springer Proceedings Series “Trends in Mathematics” pp. 37-45, 2019. (with A.S.V. RaviKanth)
• Computational Simulations for solving a class of Fractional Models via Caputo Fabrizio Fractional Derivative, Procedia Computer Science, Vol. 125, pp. 476-482, 2018. (with A.S.V. RaviKanth)

• Course Coordinator, Mathematics IV (Winter 2025-26).
• Course Coordinator, Mathematics III (Monsoon 2025-26).
• Course Coordinator, Mathematics I (Monsoon 2024-25).
• Examination-Department Coordinator (Feb 2023-2025).
• Course Coordinator, Mathematics II (Winter 2022-23).
• Faculty Advisor, M.Sc. Mathematics (2022 admission) students. 

1. Coordinator for one week workshop on “Mathematics for Artificial Intelligence (MAI-2023)” on 16-01-2023 - 20-01-2023, Department of Mathematics, NIT Calicut.

• Life Member of the Indian Mathematical Society (IMS).
• Life Member of the Ramanujan Mathematical Society (RMS)

Sep 2023-Sep 2025: Faculty Research Seed Grant (FRG)